Calculating Vertical Forces in a Cantilever Beam Setup

[Ntothaate]

Homework Statement

This is not a homework problem, but something i can't figure out how to calculate. Basically I have what is similar to a cantilever beam setup with an extension. what i need to figure out is what the vertical forces are at the two points(triangles on the attached paint drawing), and how I would Calculate that. There is no force added at any point, so it needs to be calculated solely off the mass of the beam. I don't know the mass so at this point i can just make one up as M=1lb, or whatever unit you would like. thank you in advance

Homework Equations

The Attempt at a Solution

 

[256bits]

This is a static problem so the sum of moments calculated about a point = 0.
And the sum of forces upward = sum of forces downward.

You would use the cg as to where the force of the beam acts. Note that you have 2 centres of gravity - one on the length = 9 and one on the length = 1. If M=1 then on the length 9 , the force of 0.9 acts downward at a location halfway of its length (9) from the up pointing triangle, and the part of the beam of length 1, has its cg at the 0.5 mark acting with of force of 0.1 downward.
Does that help?

 

[Ntothaate]

I believe i can figure it out, thanks for the help 256bits